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Finding the Fourth Proportional to 93,867.75, 129,537.50 and 56,142

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Solution

The fourth proportional to 93,867.75, 129,537.50 and 56,142 is: 77,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,867.75 : 129,537.50 = 56,142 : x
  2. Step 2: Convert to fraction form
    93,867.75/129,537.50 = 56,142/x
  3. Step 3: Cross multiply
    93,867.75x = 129,537.50 × 56,142
  4. Step 4: Simplify right side
    93,867.75x = 7,272,494,044.29
  5. Step 5: Solve for x
    x = 7,272,494,044.29/93,867.75
  6. Step 6: Final answer
    x = 77,475.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.